OCR FP1 2013 June — Question 3

Exam BoardOCR
ModuleFP1 (Further Pure Mathematics 1)
Year2013
SessionJune
TopicComplex Numbers Arithmetic
TypePure square root finding

3 Use an algebraic method to find the square roots of \(11 + ( 12 \sqrt { 5 } ) \mathrm { i }\). Give your answers in the form \(x + \mathrm { i } y\), where \(x\) and \(y\) are exact real numbers.